Cross

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Cross
2b4o2b$2bo2bo2b$3o2b3o$o6bo$o6bo$3o2b3o$2bo2bo2b$2b4o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ THUMBSIZE 2 GPS 2 ]]
Pattern type Oscillator
Number of cells 28
Bounding box 10 × 10
Period 3
Mod 3
Heat 26.7
Volatility 0.83
Strict volatility 0.83
Discovered by Robert Wainwright
Year of discovery 1989

Cross is a period-3 oscillator that was found in October 1989 by Robert Wainwright.[1]

In August 2004 Jason Summers found a 16-glider synthesis of this oscillator.[2]

According to Catagolue, it is the fifty-seventh most common object in even 8-fold symmetry (D8_4), occurring in 1 in 4600 soups.

Extensions

Cross is the smallest in an infinite family of period 3 oscillators, the next of which is cross 2. The fact that this infinite family of oscillators exists shows that there are an infinite number of oscillators that are polyominoes in at least one of their phases.

An alternate form of extension can be derived from the fact that one of its phases involves four detached segments. Two other oscillators, the pulsar and bracket pulsar, visually resemble this phase, and the cross can be extended in much the same way as these other oscillators can.

x = 42, y = 15, rule = B3/S23 32bo3bo$2b3o3b3o21bo3bo$32bo3bo$o4bobo4bo18b2o3b2o$o4bobo4bo5bo2bo8bob o3bobo$o4bobo4bo5bo2bo5b5o5b5o$2b3o3b3o6b2o2b2o$15b3o4b3o$2b3o3b3o$o4b obo4bo14b5o5b5o$o4bobo4bo2b3o4b3o5bobo3bobo$o4bobo4bo4b2o2b2o8b2o3b2o$ 18bo2bo10bo3bo$2b3o3b3o7bo2bo10bo3bo$32bo3bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 4 LOOP 3 ZOOM 12 ]]
The pulsar (left), cross (center) and bracket pulsar (right) (click above to open LifeViewer)
RLE: here Plaintext: here

See also

References

External links